IJPAM: Volume 63, No. 1 (2010)

Abstract.Some new and more general sufficient conditions for the existence
of at least twin or arbitrary even positive solutions to a
multi-point BVPs for -Laplacian dynamic equation on time scales
are presented. The methods used in this paper are different from
that of the paper by Su and Li (Y.H. Su, W.T. Li, Triple positive
solutions of m-point BVPs for p-Laplacian dynamic equations on
time scales, Nonlinear Anal., 68 (2008), 1442-1452).
Our results generalize and improve some known results. In particular, the results are even new for the
special cases of differential and difference equations, as well as
in the general time scale setting. As an application, two
examples are given to illustrate the results.